10045752 has 32 divisors (see below), whose sum is σ = 25192080. Its totient is φ = 3338240.

The previous prime is 10045747. The next prime is 10045757. The reversal of 10045752 is 25754001.

It is an interprime number because it is at equal distance from previous prime (10045747) and next prime (10045757).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15058 + ... + 15710.

Almost surely, 2^10045752 is an apocalyptic number.

10045752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10045752 is an abundant number, since it is smaller than the sum of its proper divisors (15146328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10045752 is a wasteful number, since it uses less digits than its factorization.

10045752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 10045752 is about 3169.5034311387. The cubic root of 10045752 is about 215.7715348416.

Adding to 10045752 its reverse (25754001), we get a palindrome (35799753).

The spelling of 10045752 in words is "ten million, forty-five thousand, seven hundred fifty-two".